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Finding the Fourth Proportional to 164,880,007.20, 230,529,679.20 and 164,880,007.20

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Solution

The fourth proportional to 164,880,007.20, 230,529,679.20 and 164,880,007.20 is: 230,529,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,880,007.20 : 230,529,679.20 = 164,880,007.20 : x
  2. Step 2: Convert to fraction form
    164,880,007.20/230,529,679.20 = 164,880,007.20/x
  3. Step 3: Cross multiply
    164,880,007.20x = 230,529,679.20 × 164,880,007.20
  4. Step 4: Simplify right side
    164,880,007.20x = 38,009,735,166,309,688
  5. Step 5: Solve for x
    x = 38,009,735,166,309,688/164,880,007.20
  6. Step 6: Final answer
    x = 230,529,679.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.